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givi [52]
2 years ago
12

After one side was lengthened by 6 inches and the other side was lengthened by 4 inches, the area of the shape doubled. What was

the length of a side of the original square?
(....+2a)^2=...+12ab^2+4a^2
Mathematics
1 answer:
erma4kov [3.2K]2 years ago
6 0

The length of a side of the original square is about 12 inches.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the length of the original square, hence:

Area = x * x = x²

When the area is doubled:

2x² = (x + 6)(x + 4)

x² + 10x + 24 = 2x²

x² - 10x - 24 = 0

x = 12 inches

The length of a side of the original square is about 12 inches.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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When z is divided by 6, the remainder is 4. What is the remain-der when z is divided by 2 ?
Aleksandr [31]

Answer:

12

Step-by-step explanation:

So first, when z is divded by 6 we get 4 left.

So an example for z could be 24.

(24 / 6 = 4)

When z is divded by 2, it would be 12

24 / 2 = 12

(I hope this helps and that you have a nice day!)

4 0
3 years ago
Value of P: 3/15(p+10)=-15
ArbitrLikvidat [17]
<span>Step  1  :</span> 1 Simplify — 5 <span>Equation at the end of step  1  :</span> 1 (— • (p + 10)) - -15 = 0 5 <span>Step  2  :</span><span>Equation at the end of step  2  :</span> (p + 10) ———————— - -15 = 0 5 <span>Step  3  :</span>Rewriting the whole as an Equivalent Fraction :

<span> 3.1 </span>  Subtracting a whole from a fraction 

Rewrite the whole as a fraction using <span> 5 </span> as the denominator :

-15 -15 • 5 -15 = ——— = ——————— 1 5

<span>Equivalent fraction : </span>The fraction thus generated looks different but has the same value as the whole 

<span>Common denominator : </span>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

<span> 3.2 </span>      Adding up the two equivalent fractions 
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(p+10) - (-15 • 5) p + 85 —————————————————— = —————— 5 5 <span>Equation at the end of step  3  :</span> p + 85 —————— = 0 5 <span>Step  4  :</span>When a fraction equals zero :<span><span> 4.1 </span>   When a fraction equals zero ...</span>

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the <span>denominator, </span>Tiger multiplys both sides of the equation by the denominator.

Here's how:

p+85 ———— • 5 = 0 • 5 5

Now, on the left hand side, the <span> 5 </span> cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   p+85  = 0

Solving a Single Variable Equation :

<span> 4.2 </span>     Solve  :    p+85 = 0<span> 

 </span>Subtract  85  from both sides of the equation :<span> 
 </span>                     p = -85 

One solution was found :                  <span> p = -85</span>
7 0
3 years ago
Solve the equation.<br> 9x=25
lidiya [134]

Answer:

x = \frac{25}{9}

Step-by-step explanation:

Divide both sides by 9 to isolate x:

\frac{9x}{9} = \frac{25}{9}  \\x = \frac{25}{9}\\

Hope this helps!

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What single transformación maps ABC onto ABC ?
Thepotemich [5.8K]

Answer:

a reflection across y-axis then translation of 1 unit right and 2 units up.

a clockwise rotation of 180° about the origin then a translation of 1 unit right and 3 units up

a reflection across y-axis then translation of 1 unit right and 1 unit down

a reflection across y = x then a positive rotation of 270° about the origin

Step-by-step explanation:

6 0
3 years ago
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